Construction of μ-normal sequences
classification
🧮 math.NT
keywords
constructionexpansionnormalnumberssequencesbetachampernownecontinued
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In the present paper we extend Champernowne's construction of normal numbers to provide sequences which are generic for a given invariant probability measure, which need not be the maximal one. We present a construction together with estimates and examples for normal numbers with respect to L\"uroth series expansion, continued fractions expansion or $\beta$-expansion.
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